Comparing the SBF Survey Velocity Field with the Gravity Field from Redshift Surveys

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We compare the predicted local peculiar velocity field from the IRAS 1.2 Jy flux-limited redshift survey and the Optical Redshift Survey (ORS) to the measured peculiar velocities from the recently completed SBF Survey of Galaxy Distances. The analysis produces a value of β= Ω⁰.⁶/b for the redshift surveys, where b is the linear biasing factor, and a tie to the Hubble flow, i.e., a value of H₀, for the SBF Survey. There is covariance between these parameters, but we find good fits with H₀ ≈ 74 for the SBF distances, βᵢ ≈ 0.44 for the IRAS survey predictions, and βₒ ≈ 0.3 for the ORS. The small-scale velocity error 200 is similar to, though slightly larger than, the value obtained in our parametric flow modeling with SBF.